Results 21 to 30 of about 5,046 (150)
The Existence of pblocks of Defect 0 in a Finite Groups with Some Subgroups Being Seminormal
Journal of Harbin University of Science and Technology, 2020 By studying homogeneous polynomials related to groups, the complex index of finite groups is defined.The theory of complex index and its complex representation has been developed and perfected quickly So people began to consider the representation of ...
WANG Hong, QIAN Fangsheng
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Subgroups of finite index in an additive group of a ring
International Journal of Mathematics and Mathematical Sciences, 2001 If K is an infinite field and G⫅K is a subgroup of finite index in an additive group, then K∗=G∗G∗−1 where G∗ denotes the set of all invertible elements in G and G∗−1 denotes all inverses of elements of G∗.
Doostali Mojdeh, S. Hassan Hashemi
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Special Subgroups of Gyrogroups: Commutators, Nuclei and Radical [PDF]
Mathematics Interdisciplinary Research, 2016 A gyrogroup is a nonassociative group-like structure modelled on the space of relativistically admissible velocities with a binary operation given by Einstein's velocity addition law.
Teerapong Suksumran
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On Residual Separability of Subgroups in Split Extensions
Моделирование и анализ информационных систем, 2015 In 1973, Allenby and Gregoras proved the following statement. Let G be a split extension of a finitely generated group A by the group B. 1) If in groups A and B all subgroups (all cyclic subgroups) are finitely separable, then in group G all subgroups (all
A. A. Krjazheva
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Inertial properties in groups [PDF]
International Journal of Group Theory, 2018 Let $G$ be a group and $p$ be an endomorphism of $G$. A subgroup $H$ of $G$ is called $p$-inert if $H^pcap H$ has finite index in the image $H^p$. The subgroups that are $p$-inert for all inner automorphisms of $G$ are widely known and studied in ...
Ulderico Dardano +2 more
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Maximal subgroups of finite groups
International Journal of Mathematics and Mathematical Sciences, 1990 In finite groups maximal subgroups play a very important role. Results in the literature show that if the maximal subgroup has a very small index in the whole group then it influences the structure of the group itself.
S. Srinivasan
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Meromorphic modular forms and the three-loop equal-mass banana integral
Journal of High Energy Physics, 2022 We consider a class of differential equations for multi-loop Feynman integrals which can be solved to all orders in dimensional regularisation in terms of iterated integrals of meromorphic modular forms.
Johannes Broedel +2 more
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Stronger arithmetic equivalence
Discrete Analysis, 2021 Stronger arithmetic equivalence, Discrete Analysis 2021:23, 23 pp. An algebraic number field is a subfield $K$ of $\mathbb C$ that is finite-dimensional when considered as a vector space over $\mathbb Q$, which implies that every element of $K$ is ...
Andrew V. Sutherland
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A Note on the Normal Index and the c-Section of Maximal Subgroups of a Finite Group
Journal of Applied Mathematics, 2014 Let M be a maximal subgroup of finite group G. For each chief factor H/K of G such that K≤M and G=MH, we called the order of H/K the normal index of M and M∩H/K a section of M in G.
Na Tang, Xianhua Li
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On Γ-Interval Valued Fuzzification of Lagrange’s Theorem of Γ-Interval Valued Fuzzy Subgroups
IEEE Access, 2020 In this paper, we present the idea of interval valued fuzzy subgroup defined over a certain t-conorm ( $\mathrm {\Gamma }$ -IVFSG) and prove that every IVFSG is $\mathrm {\Gamma }$ -IVFSG.
Umer Shuaib +4 more
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